Keywords - Function groups - @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Library: smoother
See also: sker

Quantlet: looreg
Description: computes the Nadaraya-Watson leave-one-out estimator without binning using the quartic kernel. Prior to estimation, looreg sorts the data. The sorted data, along with the sorted leave-one-out regression estimates, are returned as an output.

Usage: {xs, mh} = looreg (x, y, h)
Input:
x n x p matrix, observations of explanatory variables
y n x 1 matrix, observations of the dependent variable
h n x p matrix. or 1 x p vector, or n x 1 vector, or scalar depending on whether one wants to use global or local bandwidth and if one uses the same bandwidth in all directions or one for each direction.
Output:
xy n x (p+1) matrix, the sorted data, the first p columns contain the sorted observations of the explanatory while the last column contains the sorted observations of the dependent variable
mh n x 1 matrix, the sorted leave-one-out regression estimates

Example:
library("smoother")
z=read("nicfoo")
x=z[,1]
y=z[,2]
h=0.5
{xy, mh} = looreg(x, y, h)
dd=createdisplay(1,1)
show(dd,1,1,xy,xy[,1]~mh )

Result:
Computes the leave-one-out Nadaraya-Watson estimator
of the regression of y on x for the nicfoo data.



Author: A. Werwatz, 19970122
(C) MD*TECH Method and Data Technologies, 05.02.2006